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Zero modes and Dirac-(logarithmic) Sobolev-type inequalities 零模和Dirac-（对数）sobolev型不等式
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-27 DOI: 10.1007/s11005-026-02102-7
Marianna Chatzakou, Uwe Kähler, Michael Ruzhansky
{"title":"Zero modes and Dirac-(logarithmic) Sobolev-type inequalities","authors":"Marianna Chatzakou,&nbsp;Uwe Kähler,&nbsp;Michael Ruzhansky","doi":"10.1007/s11005-026-02102-7","DOIUrl":"10.1007/s11005-026-02102-7","url":null,"abstract":"<div><p>We study the decay rate of the zero modes of the Dirac operator with a matrix-valued potential that is considered here without any regularity assumptions, compared to the existing literature. For the Dirac operator and for Clifford-valued functions we prove the <span>(L^p)</span>-<span>(L^2)</span> Dirac Sobolev inequality with explicit constant, as well as the <span>(L^p)</span>-<span>(L^q)</span> Dirac-Sobolev inequalities. We prove its logarithmic counterpart for <span>(q=2)</span>, extending it to its Gaussian version of Gross, as well as show Nash and Poincaré inequalities in this setting, with explicit values for constants.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Differentiability and other properties of the cosmological volume function 宇宙体积函数的可微性和其他性质
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-26 DOI: 10.1007/s11005-026-02112-5
Leonardo García-Heveling
{"title":"Differentiability and other properties of the cosmological volume function","authors":"Leonardo García-Heveling","doi":"10.1007/s11005-026-02112-5","DOIUrl":"10.1007/s11005-026-02112-5","url":null,"abstract":"<div><p>In a previous work, the regular cosmological volume function <span>(tau _V)</span> was introduced as an alternative to the regular cosmological time function of Andersson, Galloway, and Howard. Building on work by Chruściel, Grant and Minguzzi, in this paper we show that in many cases of interest, <span>(tau _V)</span> is a continuously differentiable temporal function. This leads to a canonical splitting of the metric tensor, and induces a canonical “Wick-rotated” Riemannian metric. We also provide some further results and examples related to the cosmological time and volume functions.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02112-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The ({textbf{H}})-flux on flag manifolds generated by infinitesimal ({textbf{T}})-duality 无穷小({textbf{T}}) -对偶产生的标志流形上的({textbf{H}}) -通量
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-26 DOI: 10.1007/s11005-026-02106-3
Elizabeth Gasparim, Lino Grama, Carlos Varea
{"title":"The ({textbf{H}})-flux on flag manifolds generated by infinitesimal ({textbf{T}})-duality","authors":"Elizabeth Gasparim,&nbsp;Lino Grama,&nbsp;Carlos Varea","doi":"10.1007/s11005-026-02106-3","DOIUrl":"10.1007/s11005-026-02106-3","url":null,"abstract":"<div><p>We define a new correspondence for pairs <span>(({mathbb {F}},H))</span> formed by a flag manifold <span>({mathbb {F}})</span> together with an <i>H</i>-flux on <span>({mathbb {F}})</span>. Given its role within our correspondence, infinitesimal <i>T</i>-duality may be viewed as a source of <i>H</i>-flux, in the sense that it contributes towards taking fluxless pairs <span>(({mathbb {F}},0))</span> to pairs <span>(({mathbb {F}}^vee , H^vee ))</span> carrying nonzero flux <span>(H^vee ne 0)</span>. We also illustrate how our correspondence exchanges complex structures with symplectic ones up to <i>B</i>-transformations.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02106-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Representations of the modular shifted super-Yangian (Y_{1|1}(sigma )) 模位移超仰阳的表示 (Y_{1|1}(sigma ))
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1007/s11005-026-02103-6
Hao Chang, Ruiying Hou, Hui Wu
{"title":"Representations of the modular shifted super-Yangian (Y_{1|1}(sigma ))","authors":"Hao Chang,&nbsp;Ruiying Hou,&nbsp;Hui Wu","doi":"10.1007/s11005-026-02103-6","DOIUrl":"10.1007/s11005-026-02103-6","url":null,"abstract":"<div><p>Let <span>(Y_{1|1})</span> be the Yangian associated with the general linear Lie superalgebra <span>(mathfrak {gl}_{1|1})</span>, defined over an algebraically closed field <span>(mathbbm {k})</span> of characteristic <span>(p&gt;2)</span>. In this paper, we classify the finite-dimensional irreducible representations of the restricted super-Yangian <span>(Y_{1|1}^{[p]})</span> and the restricted truncated shifted super-Yangian <span>(Y_{1|1,ell }^{[p]}(sigma ))</span>.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Well-posedness for Cahn–Hilliard-type model on the half-line 半线上cahn - hilliard型模型的适定性
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-18 DOI: 10.1007/s11005-026-02094-4
Ming-Xiao Shi, Shou-Fu Tian
{"title":"Well-posedness for Cahn–Hilliard-type model on the half-line","authors":"Ming-Xiao Shi,&nbsp;Shou-Fu Tian","doi":"10.1007/s11005-026-02094-4","DOIUrl":"10.1007/s11005-026-02094-4","url":null,"abstract":"<div><p>In this work, we investigate the initial-boundary value problem (IBVP) of the Cahn–Hilliard-type model on the half-line, model related to heat-mass transfer phenomena and solid fluid dynamics. Recently, Chatziafratis et al. (Math. Models Methods Appl. Sci. 35 (2025) 1133-1197) employed the Fokas method to solve the IBVP for Cahn–Hilliard-type model on the half-line and derived properties such as regularity near the boundary of the domain. Inspired by this work, we rigorously prove the well-posedness in the sense of Hadamard with initial condition <span>(u_{0}(x) in H^{s}(0,infty ))</span>, for regularity exponent <span>(frac{1}{2}&lt;s&lt;frac{9}{2})</span> and <span>(s ne frac{3}{2})</span> under Dirichlet–Neumann boundary conditions. To effectively overcome the difficulties posed by nonlinear term and boundary conditions, the core of this work is to investigate the associated forced linear problem, which can be solved by the Fokas method. Given the complex characteristics of the linear high-order terms, we utilize analytical techniques such as the <span>(L^{2})</span>-boundedness of the Laplace transform and the properties of Banach algebras to establish linear estimates, laying foundation for the proof of well-posedness. Furthermore, this work identifies the appropriate function spaces for the Dirichlet and Neumann boundary data, which is crucial for the overall analysis.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Basics of Multiple Polyexponential Integrals 多重多重指数积分基础
IF 1.6 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-15 DOI: 10.1007/s11005-026-02090-8
Gleb Aminov, Paolo Arnaudo
{"title":"Basics of Multiple Polyexponential Integrals","authors":"Gleb Aminov,&nbsp;Paolo Arnaudo","doi":"10.1007/s11005-026-02090-8","DOIUrl":"10.1007/s11005-026-02090-8","url":null,"abstract":"<div><p>We introduce a set of special functions called <i>multiple polyexponential integrals</i>, defined as iterated integrals of the exponential integral <span>(text {Ei}(z))</span>. These functions arise in certain perturbative expansions of the local solutions of second-order ODEs around an irregular singularity. In particular, their recursive definition describes the asymptotic behavior of these local solutions. To complement the study of the multiple polyexponential integrals on the entire complex plane, we relate them with two other sets of special functions – the <i>undressed</i> and <i>dressed multiple polyexponential functions</i> – which are characterized by their Taylor series expansions around the origin.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148281483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The evolution operator connecting the Lagrangian and Hamiltonian formalisms for contact systems 连接接触系统的拉格朗日和哈密顿形式的演化算子
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-13 DOI: 10.1007/s11005-026-02093-5
Xavier Gràcia, Ángel Martínez-Muñoz, Xavier Rivas, Narciso Román-Roy
{"title":"The evolution operator connecting the Lagrangian and Hamiltonian formalisms for contact systems","authors":"Xavier Gràcia,&nbsp;Ángel Martínez-Muñoz,&nbsp;Xavier Rivas,&nbsp;Narciso Román-Roy","doi":"10.1007/s11005-026-02093-5","DOIUrl":"10.1007/s11005-026-02093-5","url":null,"abstract":"<div><p>Some mechanical systems with dissipation can be described within the framework of the so-called contact mechanics: a modified form of the Euler–Lagrange equations stemming from Herglotz’s variational principle, which admits a geometric formulation in terms of contact geometry. On the other hand, the study of singular Lagrangian systems and Dirac’s theory of constraints can be enhanced by using the evolution operator <i>K</i> that connects the Lagrangian and Hamiltonian formalisms. The main purpose of this paper is to transpose this evolution operator to the case of contact mechanics, and to study some of its main properties. In particular, we show that it provides a geometric description of the evolution equations and it relates the Hamiltonian and Lagrangian constraints. To illustrate the theory, we provide examples of singular contact systems based on modified versions of the simple pendulum and the Cawley Lagrangian.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02093-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feynman–Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains 磁场和一般域上由多极化子哈密顿子生成的半群的费曼-卡茨公式
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-12 DOI: 10.1007/s11005-026-02092-6
Benjamin Hinrichs, Oliver Matte
{"title":"Feynman–Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains","authors":"Benjamin Hinrichs,&nbsp;Oliver Matte","doi":"10.1007/s11005-026-02092-6","DOIUrl":"10.1007/s11005-026-02092-6","url":null,"abstract":"<div><p>We prove Feynman–Kac formulas for the semigroups generated by selfadjoint operators in a class containing Fröhlich Hamiltonians known from solid state physics. The latter model multi-polarons, i.e., a fixed number of quantum mechanical electrons moving in a polarizable crystal and interacting with the quantized phonon field generated by the crystal’s vibrational modes. Both the electrons and phonons can be confined to suitable open subsets of Euclidean space. We also include possibly very singular magnetic vector potentials and electrostatic potentials. Our Feynman–Kac formulas comprise Fock space operator-valued multiplicative functionals and can be applied to every vector in the underlying Hilbert space. In comparison with the renormalized Nelson model, for which analogous Feynman–Kac formulas are known, the analysis of the creation and annihilation terms in the multiplicative functionals requires novel ideas to overcome difficulties caused by the phonon dispersion relation being constant. Getting these terms under control and generalizing other construction steps so as to cover confined systems are the main achievements of this article.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02092-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generating and computing quantum periods in exact WKB 以精确的WKB生成和计算量子周期
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-10 DOI: 10.1007/s11005-026-02099-z
Max Meynig
{"title":"Generating and computing quantum periods in exact WKB","authors":"Max Meynig","doi":"10.1007/s11005-026-02099-z","DOIUrl":"10.1007/s11005-026-02099-z","url":null,"abstract":"<div><p>Periods of rational integrals appear in quantum mechanics through asymptotic expansions of traces computed with the semiclassical symbol calculus. In particular, a novel formal series expansion for the trace of the Dirac delta of the quantization of a polynomial Hamiltonian is developed. Reducing these integrals modulo total derivatives results in a novel formula for normal forms of the integrals. In the case of one degree of freedom, the two-dimensional residue formula relates the rational integrals to the quantum actions in the exact WKB formalism.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decoherence-free algebras in quantum dynamics 量子动力学中的无退相干代数
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-06-10 DOI: 10.1007/s11005-026-02095-3
Daniele Amato, Paolo Facchi, Arturo Konderak
{"title":"Decoherence-free algebras in quantum dynamics","authors":"Daniele Amato,&nbsp;Paolo Facchi,&nbsp;Arturo Konderak","doi":"10.1007/s11005-026-02095-3","DOIUrl":"10.1007/s11005-026-02095-3","url":null,"abstract":"<div><p>In this Article we analyze the algebraic properties of the asymptotic dynamics of finite-dimensional open quantum systems in the Heisenberg picture. In particular, a natural product (Choi-Effros product) can be defined in the asymptotic regime. Motivated by this structure, we introduce a new space called the Choi-Effros decoherence-free algebra. Interestingly, this space is both a <i>C*</i>-algebra with respect to the composition product, and a <i>B*</i>-algebra with respect to the Choi-Effros product. Moreover, such space admits a direct-sum decomposition revealing a clear relationship with the attractor subspace of the dynamics. In particular, the equality between the attractor subspace and the Choi-Effros decoherence-free algebra is a necessary and sufficient condition for a faithful dynamics. Finally, we show how all the findings do not rely on complete positivity but on the much weaker Schwarz property.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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